Hidden Order in Crackling Noise during Peeling of an Adhesive Tape

TL;DR

This paper reveals the deterministic chaotic nature of acoustic emissions during tape peeling, linking stick-slip dynamics to chaos theory through phase space analysis and model validation.

Contribution

It demonstrates the presence of chaos in acoustic signals from peeling, providing a new understanding of the underlying dynamics and connecting experimental data with theoretical models.

Findings

Correlation dimension confirms chaos in acoustic signals.

Positive Lyapunov exponent indicates deterministic chaos.

Model explains acoustic emissions via sticks-slip dynamics.

Abstract

We address the long standing problem of recovering dynamical information from noisy acoustic emission signals arising from peeling of an adhesive tape subject to constant traction velocity. Using phase space reconstruction procedure we demonstrate the deterministic chaotic dynamics by establishing the existence of correlation dimension as also a positive Lyapunov exponent in a mid range of traction velocities. The results are explained on the basis of the model that also emphasizes the deterministic origin of acoustic emission by clarifying its connection to sticks-slip dynamics.